共查询到20条相似文献,搜索用时 15 毫秒
1.
D.D. Hai 《Journal of Mathematical Analysis and Applications》2007,334(2):965-976
We prove existence and nonexistence of positive solutions for the quasilinear system
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D.D. Hai 《Journal of Mathematical Analysis and Applications》2011,383(2):619-2822
We prove the existence and nonexistence of positive solutions for the boundary value problem
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Kanishka Perera Elves A.B. Silva 《Journal of Mathematical Analysis and Applications》2006,323(2):1238-1252
In this work we combine perturbation arguments and variational methods to study the existence and multiplicity of positive solutions for a class of singular p-Laplacian problems. In the first two theorems we prove the existence of solutions in the sense of distributions. By strengthening the hypotheses, in the third and last result, we establish the existence of two ordered positive weak solutions. 相似文献
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We study existence of positive weak solution for a class of $p$-Laplacian problem $$\left\{\begin{array}{ll}-\Delta_{p}u = \lambda g(x)[f(u)-\frac{1}{u^{\alpha}}], & x\in \Omega,\\u= 0 , & x\in\partial \Omega,\end{array\right.$$ where $\lambda$ is a positive parameter and $\alpha\in(0,1),$ $\Omega $ is a bounded domain in $ R^{N}$ for $(N > 1)$ with smooth boundary, $\Delta_{p}u = div (|\nabla u|^{p-2}\nabla u)$ is the p-Laplacian operator for $( p > 2),$ $g(x)$ is $C^{1}$ sign-changing function such that maybe negative near the boundary and be positive in the interior and $f$ is $C^{1}$ nondecreasing function $\lim_{s\to\infty}\frac{f(s)}{s^{p-1}}=0.$ We discuss the existence of positive weak solution when $f$ and $g$ satisfy certain additional conditions. We use the method of sub-supersolution to establish our result. 相似文献
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Jaffar Ali 《Journal of Mathematical Analysis and Applications》2007,335(2):1013-1019
Consider the system
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Bryan P. Rynne 《Journal of Differential Equations》2006,226(2):501-524
We consider the p-Laplacian boundary value problem
(1) 相似文献
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Linsong Shi 《Journal of Mathematical Analysis and Applications》2010,363(1):155-306
In this paper we study the p-Laplacian type elliptic problems with concave nonlinearities. Using some asymptotic behavior of f at zero and infinity, three nontrivial solutions are established. 相似文献
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Multiplicity of positive solutions for a class of quasilinear nonhomogeneous Neumann problems 总被引:1,自引:0,他引:1
Emerson A.M. Abreu Joo Marcos do
Everaldo S. Medeiros 《Nonlinear Analysis: Theory, Methods & Applications》2005,60(8):1443-1471
In this paper we study the existence, nonexistence and multiplicity of positive solutions for nonhomogeneous Neumann boundary value problem of the type where Ω is a bounded domain in with smooth boundary, 1<p<n,Δpu=div(|u|p-2u) is the p-Laplacian operator, , , (x)0 and λ is a real parameter. The proofs of our main results rely on different methods: lower and upper solutions and variational approach. 相似文献
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Meiqiang Feng Xuemei Zhang Weigao Ge 《Journal of Mathematical Analysis and Applications》2008,338(2):784-792
In this paper, exact number of solutions are obtained for the one-dimensional p-Laplacian in a class of two-point boundary value problems. The interesting point is that the nonlinearity f is general form: f(u)=λg(u)+h(u). Meanwhile, some properties of the solutions are given in details. The arguments are based upon a quadrature method. 相似文献
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Jiangang Cheng 《Journal of Mathematical Analysis and Applications》2006,315(2):583-598
This paper is concerned with the exact number of positive solutions for boundary value problems ′(|y′|p−2y′)+λf(y)=0 and y(−1)=y(1)=0, where p>1 and λ>0 is a positive parameter. We consider the case in which the nonlinearity f is positive on (0,∞) and (p−1)f(u)−uf′(u) changes sign from negative to positive. 相似文献
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By using generalized Borsuk theorem in coincidence degree theory, some criteria to guarantee the existence of ω-periodic solutions for a class of p-Laplacian system are derived. 相似文献
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This paper presents sufficient conditions for the existence and multiplicity of positive solutions to the one-dimensional p-Laplacian differential equation (?p′(u′))+a(t)f(u,u′)=0, subject to some boundary conditions. We show that it has at least one or two or three positive solutions under some assumptions by applying the fixed point theorem. 相似文献
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We establish the existence of a nontrivial solution for a class of quasilinear elliptic boundary value problems with jumping nonlinearities by means of variational arguments and a cohomological local splitting. 相似文献
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Patrick Winkert 《Journal of Mathematical Analysis and Applications》2011,377(1):121-134
The main goal of this paper is to present multiple solution results for elliptic inclusions of Clarke's gradient type under nonlinear Neumann boundary conditions involving the p-Laplacian and set-valued nonlinearities. To be more precise, we study the inclusion
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By using fixed point theorem, we study the following equation g(u′′(t))+a(t)f(u)=0 subject to boundary conditions, where g(v)=|v|p−2v with p>1; the existence of at least three positive solutions is proved. 相似文献
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Sufficient conditions are obtained that guarantee the existence of at least two positive solutions for the equation (g(u′(t)))′+a(t)f(u)=0 subject to boundary conditions, by a simple application of a new fixed-point theorem due to Avery and Henderson. 相似文献
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In this paper we investigate a system of impulsive integral boundary value problems with sign-changing nonlinearities. Using the fixed point theorem in double cones, we prove the existence of multiple positive solutions. 相似文献